Offering an advent to isogeometric tools with a spotlight on their mathematical foundations, this ebook consists of 4 chapters, every one dedicated to a subject of distinctive pursuits for isogeometric tools and their theoretical figuring out. It incorporates a educational on splines and generalizations which are utilized in CAD parametrizations, and provides an outline of geometric modeling recommendations that may be used in the isogeometric process, with a spotlight on non-tensor product splines. ultimately, it provides the mathematical homes of isogeometric areas and spline areas for vector box approximations, and treats intimately an software of primary value: the isogeometric simulation of a viscous incompressible flow.
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